Abstract
This chapter studies extended clusters of grey incidences for indexes in panel data. Firstly it discusses the expression of a panel data by matrix sequence, and describes its geometric characteristic though a cluster of curved surfaces. Thereafter, in a three dimensional space, the chapter analyzes the geometric similarity of indexes in panel data. According to the principle of grey incidence analysis, it proposes an absolute degree of grey incidences for matrixes, which maintains the consistent form with the classic one. Furthermore the formula of zeroing starting point operator and parameters are redefined. On this basis, the chapter constructs the extended incidence matrix of indexes and discusses the cluster analysis process of panel data. Finally, an instance is studied. The results prove the method is effective.
The work is partially supported by National Natural Science Foundation of China though Grant NO. 70701017, 70473037, by the Research Fund for the Doctoral Program of National Ministry of Education though Grant NO. 200802870020. At the same time the authors would like to acknowledge the partial support of National Soft Science Research Program via Grant 2008GXS5D115, Also acknowledgements are given to Social Science Fund of National Education Ministry though Grant NO. 08JA630039.
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Zhang, K., Liu, S. (2010). Research on Extended Cluster of Grey Incidences and Its Application. In: Liu, S., Forrest, J.YL. (eds) Advances in Grey Systems Research. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13938-3_17
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DOI: https://doi.org/10.1007/978-3-642-13938-3_17
Publisher Name: Springer, Berlin, Heidelberg
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